Videos

By clicking to watch this video, you agree to our privacy policy.

The Biggest Breakthroughs in Mathematics: 2025

2025 marked a historic year in mathematics. Researchers solved a major case of Hilbert’s ambitious sixth problem, proved a sweeping new theorem about hyperbolic surfaces, and settled the longstanding three-dimensional Kakeya conjecture.

Explore All Videos

Richard Schwartz: In Praise of Simple Problems

January 9, 2018

Mathematician Richard Schwartz talks about why he’s attracted to the hidden depths of simple problems.

Corina Tarnita: First Understand Nature’s Rules

December 20, 2017

Corina Tarnita argues that to fully appreciate nature, you must first understand its rules.

Minhyong Kim: Connecting Number Theory to Physics

December 20, 2017

Minhyong Kim wanted to make sure he had concrete results in number theory before he admitted that his ideas were inspired by physics.

Federico Ardila: A Mathematician Who Dances to the Joys and Sorrows of Discovery

November 15, 2017

Federico Ardila on the joys and challenges of teaching math and helping students find their mathematical voice.

Michael Assis: The Atomic Theory of Origami

October 31, 2017

Michael Assis demonstrates how defects can be used to tune the properties of Miura-ori origami.

Nigel Goldenfeld: Seeing Emergent Physics Behind Evolution

August 31, 2017

Nigel Goldenfeld explains how condensed matter physics provides insights into the collective state of early life on Earth.

Svitlana Mayboroda: Taming Rogue Waves

August 22, 2017

Svitlana Mayboroda describes how the landscape function helps solve the mystery of wave localization.